{"id":221278,"date":"2025-05-29T11:20:56","date_gmt":"2025-05-29T11:20:56","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=221278"},"modified":"2025-05-29T11:20:58","modified_gmt":"2025-05-29T11:20:58","slug":"mos-hernandez-has-17-tomato-plants-that-she-wants-to-plant-in-rows","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/29\/mos-hernandez-has-17-tomato-plants-that-she-wants-to-plant-in-rows\/","title":{"rendered":"Mos. Hernandez has 17 tomato plants that she wants to plant in rows."},"content":{"rendered":"\n

Mos. Hernandez has 17 tomato plants that she wants to plant in rows. She will put 2 plants in some rows and 1 plant in the others.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To solve this problem, we need to determine how many different combinations of rows with 2 plants and rows with 1 plant<\/strong> will total 17 tomato plants<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Let\u2019s define:<\/h3>\n\n\n\n
    \n
  • Let xx be the number of rows with 2 plants.<\/li>\n\n\n\n
  • Let yy be the number of rows with 1 plant.<\/li>\n<\/ul>\n\n\n\n

    We are told the total number of tomato plants is 17, so: 2x+y=172x + y = 17<\/p>\n\n\n\n

    We are looking for whole number (integer) solutions<\/strong> to this equation where x\u22650x \\geq 0 and y\u22650y \\geq 0.<\/p>\n\n\n\n

    \n\n\n\n

    Let’s make a table:<\/h3>\n\n\n\n
    Rows with 2 Plants (x)<\/th>Rows with 1 Plant (y)<\/th>Total Plants (2x + y)<\/th><\/tr><\/thead>
    0<\/td>17<\/td>0 + 17 = 17<\/td><\/tr>
    1<\/td>15<\/td>2 + 15 = 17<\/td><\/tr>
    2<\/td>13<\/td>4 + 13 = 17<\/td><\/tr>
    3<\/td>11<\/td>6 + 11 = 17<\/td><\/tr>
    4<\/td>9<\/td>8 + 9 = 17<\/td><\/tr>
    5<\/td>7<\/td>10 + 7 = 17<\/td><\/tr>
    6<\/td>5<\/td>12 + 5 = 17<\/td><\/tr>
    7<\/td>3<\/td>14 + 3 = 17<\/td><\/tr>
    8<\/td>1<\/td>16 + 1 = 17<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    Once x=9x = 9, 2x=182x = 18, which exceeds 17, so we stop.<\/p>\n\n\n\n

    \n\n\n\n

    Final Answer:<\/h3>\n\n\n\n

    There are 9 different ways<\/strong> Ms. Hernandez can plant the tomato plants.<\/p>\n\n\n\n

    \n\n\n\n

    Explanation <\/h3>\n\n\n\n

    To find the number of different ways Ms. Hernandez can plant her 17 tomato plants, we use a problem-solving strategy involving algebra and tables. She has the option to plant either 2 tomato plants per row<\/strong> or 1 tomato plant per row<\/strong>. The goal is to determine how many combinations of rows with 2 plants and rows with 1 plant will total exactly 17 plants.<\/p>\n\n\n\n

    We start by letting variables represent each type of row. Let xx represent the number of rows with 2 plants, and yy represent the number of rows with 1 plant. The total number of tomato plants is then given by the equation 2x+y=172x + y = 17.<\/p>\n\n\n\n

    We are interested only in non-negative integers for xx and yy because we can’t have a negative number of rows. So, we try different values for xx starting from 0 and solve for yy each time using the equation y=17\u22122xy = 17 – 2x. We keep increasing xx until 2x2x exceeds 17.<\/p>\n\n\n\n

    We find that there are 9 valid combinations that satisfy the equation: (0,17), (1,15), (2,13), …, (8,1). Each combination represents a different way to plant the tomato plants. Thus, Ms. Hernandez has 9 different planting options<\/strong>.<\/p>\n\n\n\n

    This approach not only gives the answer but also shows the logical reasoning and mathematical tools (algebra and systematic listing) used to solve the problem. It helps build problem-solving skills in pattern recognition and working with constraints.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Mos. Hernandez has 17 tomato plants that she wants to plant in rows. She will put 2 plants in some rows and 1 plant in the others. The Correct Answer and Explanation is: To solve this problem, we need to determine how many different combinations of rows with 2 plants and rows with 1 plant […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-221278","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/221278","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=221278"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/221278\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=221278"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=221278"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=221278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}